Question

A line has this equation: y=1/4x-9

Answer 1

Answer:

The equation of the perpendicular line would be y = -4x + 30

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. For that we look at the coefficient of x, which is 1/4

To find the perpendicular slope, we use the opposite and reciprocal. This means we negative 1/4 to get -1/4 and then we flip it to get -4. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 10 = -4(x - 5)

y - 10 = -4x + 20

y = -4x + 30